Abstract
An optimal preview control utilizing the future values of a desired signal and process inputs is studied for a linear system with transport delay. As a typical transport delay process, the plug flow process is considered in this paper.
The optimal preview control problem is formulated as that of minimizing a quadratic performance index in the preview period, and it is solved by applying conditions for optimality derived by N. N. Krasovskii.
The optimal preview control system has two control functions. One is the feedback control of states of the lumped parameter process and the transport delay process. The other is the feedforward control utilizing the future values of a desired value and process inputs.
The optimal feedback gain and the feedforward control are obtained by solving Ricatti type partial differential equations.
Simulation results show that the proposed control system is superior to the feedback control system.
